205211230400 has 168 divisors, whose sum is σ = 552063903744. Its totient is φ = 74458137600.

The previous prime is 205211230397. The next prime is 205211230409. The reversal of 205211230400 is 4032112502.

205211230400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×205211230400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (205211230409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8136209 + ... + 8161391.

Almost surely, 2^205211230400 is an apocalyptic number.

205211230400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205211230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276031951872).

205211230400 is an abundant number, since it is smaller than the sum of its proper divisors (346852673344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205211230400 is a wasteful number, since it uses less digits than its factorization.

205211230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25679 (or 25664 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 205211230400 its reverse (4032112502), we get a palindrome (209243342902).

The spelling of 205211230400 in words is "two hundred five billion, two hundred eleven million, two hundred thirty thousand, four hundred".